8( – 1)k +1 k(k + 6) By the alternating series test, the series converges. Find its sum. 8 First find the partial fraction decomposition of k(k + 6) 8 k(k + 6) Then find the limit of the partial sums. 8( – 1)k+1 k(k + 6) 00 k=1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.3: Partial Fractions
Problem 47E
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By the alternating series test, the series converges. Find its sum and the first partial fraction decomposition. Find the limit of the partial sums.

8( – 1)*+1
k(k + 6)
00
By the alternating series test, the series
converges. Find its sum.
8
First find the partial fraction decomposition of
k(k + 6)
8
k(k + 6)
Then find the limit of the partial sums.
k+1
8( – 1)*
k(k + 6)
Transcribed Image Text:8( – 1)*+1 k(k + 6) 00 By the alternating series test, the series converges. Find its sum. 8 First find the partial fraction decomposition of k(k + 6) 8 k(k + 6) Then find the limit of the partial sums. k+1 8( – 1)* k(k + 6)
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